Question

EXAM ow all work for full credit. No cell phones. Do no share calculators. r MTH 351 Each of a sample of three home mortgages is classified at fixedrate in, or van-we rate 1. a) What are the 8 outcomes in the sample space, S b) Which outcomes s ar the event that all 3 mortgages are of the same type? What outcomes are in the event that at most 1 of the 3 is a variable- rate mortgage? c) 2. The route used by a certain motorist is commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.37, similarly the probability that he must stop for the second signal is 0.55 and the probability that he must at at least one of the two signals is 0.75 Call A-stopping at first signal, B-stopping at second signal. stop What is the probability that he must stop at both signals and write this event in terms of A, B with appropriate complement, union or intersection set symbol as we wrote in class. a) What is the probability that he must stop at the first but not the second signal and write this event in terms of A, B with appropriate complement, union or intersection set symbol as we wrote in class. h'A and B' b) 525 Construct a Venn diagram with a rectangle for the sample space, a circle for each of events A, B and then shade what stopping at the first signal but not the second signal would be on the diagram. c)

Answer 1